Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions
- PDF / 1,614,917 Bytes
- 61 Pages / 595.276 x 841.89 pts (A4) Page_size
- 37 Downloads / 249 Views
Springer
Received: October 4, Revised: November 13, Accepted: November 22, Published: December 5,
2019 2019 2019 2019
Ed Bennett,a Deog Ki Hong,b Jong-Wan Lee,b,c C.-J. David Lin,d,e Biagio Lucini,f Maurizio Piaig and Davide Vadacchinoh a
Swansea Academy of Advanced Computing, Swansea University, Bay Campus, SA1 8EN, Swansea, Wales, U.K. b Department of Physics, Pusan National University, Busan 46241, Korea c Extreme Physics Institute, Pusan National University, Busan 46241, Korea d Institute of Physics, National Chiao-Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan e Centre for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan f Department of Mathematics, College of Science, Swansea University, Bay Campus, SA1 8EN, Swansea, Wales, U.K. g Department of Physics, College of Science, Swansea University, Singleton Park, SA2 8PP, Swansea, Wales, U.K. h INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudoNambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP12(2019)053
JHEP12(2019)053
Sp(4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin. Keywords: Lattice Quantum Field Theory, Technicolor and Composite Models, Beyond Standard Model
JHEP12(2019)053
ArXiv ePrint: 1909.12662
Contents 1 Introduction
1
2 Lattice model 2.1 Lattice action 2.2 Numerical Monte Carlo treatment
4 4 5 7 7 8 10 14
4 Meson spectroscopy and decay constants 4.1 Two-point correlation functions 4.2 Masses and decay const
Data Loading...
